The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. -8 (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): ☐ 3 -2 0 2 ☐ None y-intercept(s): 0 -2 ☐ 2 ☐ 0 None (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): ☐ (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range:

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Finding the intercepts, asymptotes, domain, and range from the graph of a rational function

 

The graph of a rational function f is shown below.
Assume that all asymptotes and intercepts are shown and that the graph has no "holes".
Use the graph to complete the following.
-8
Transcribed Image Text:The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. -8
(a) Find all x-intercepts and y-intercepts. Check all that apply.
x-intercept(s):
☐ 3
-2
0 2
☐ None
y-intercept(s):
0 -2 ☐ 2
☐ 0
None
(b) Write the equations for all vertical and horizontal
asymptotes. Enter the equations using the "and" button as
necessary. Select "None" as necessary.
Vertical asymptote(s):
Horizontal asymptote(s): ☐
(c) Find the domain and range of f.
Write each answer as an interval or union of intervals.
Domain:
Range:
Transcribed Image Text:(a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): ☐ 3 -2 0 2 ☐ None y-intercept(s): 0 -2 ☐ 2 ☐ 0 None (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): ☐ (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range:
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